Q: What are the prime factors of the number 50,315,551?

 A: 11, 13, 29, 1103

Why are those the prime factors of the number 50,315,551?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 50,315,551

50,315,551
Factor Arrows
114,574,141
Factor Arrows
11415,831
Factor Arrows
1331,987
Factor Arrows
291,103

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

11, 13, 29, 1103

We can check our work by multiplying all of the prime factors together: 11 x 11 x 13 x 29 x 1,103 = 50,315,551

This can also be written as 112 x 131 x 291 x 1,1031 = 50,315,551

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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